123461856 has 144 divisors (see below), whose sum is σ = 410102784. Its totient is φ = 34497792.

The previous prime is 123461831. The next prime is 123461869. The reversal of 123461856 is 658164321.

It is a happy number.

123461856 is a `hidden beast` number, since 1 + 2 + 34 + 618 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 123461856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94101 + ... + 95403.

It is an arithmetic number, because the mean of its divisors is an integer number (2847936).

Almost surely, 2^123461856 is an apocalyptic number.

123461856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123461856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205051392).

123461856 is an abundant number, since it is smaller than the sum of its proper divisors (286640928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123461856 is a wasteful number, since it uses less digits than its factorization.

123461856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1362 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 123461856 is about 11111.3390732171. The cubic root of 123461856 is about 497.9406713084.

The spelling of 123461856 in words is "one hundred twenty-three million, four hundred sixty-one thousand, eight hundred fifty-six".